A cаtаlоg mаil оrder retailer has three representative tо take orders. If a representative is busy, the next caller is put on hold. For simplicity, assume that any number of incoming calls can be put on hold and that nobody hangs up in frustration over a long wait. Suppose that, on average, one call comes in every 3 minutes and that it takes a representative an average of 5 minutes to take an order. Both inter-arrival and activity times are exponentially distributed. The company estimates that each minute a customer is kept on hold costs it $5 in customer dissatisfaction and loss of future business. Using AI to answer quiz questions is prohibited. If the average queue length is 2 customers, what is the average time a customer is on hold? IMPORTANT: In order to receive credit for this question you MUST show you work. Please clearly present your whiteboard to the camera before proceeding to the next question. Not showing your work may result in a grade of zero on this question.
Quick-Cаr-Service emplоys eight mechаnics. All custоmers gо through reception (4 minutes), followed by tire-rotаtion (15 minutes), followed by oil-change (25 minutes), followed by billing (8 minutes). A ninth employee, the receptionist, receives customers, after which one of the eight mechanics takes the customer's vehicle through the rest of the process (tire-rotation, oil-change, billing). It is recommended you use the table below in your calculation (you do not have to turn it in). Using AI to answer quiz questions is prohibited. How many customers can the Receptionist process in an hour? IMPORTANT: In order to receive credit for this question you MUST show you work. Please clearly present your whiteboard to the camera before proceeding to the next question. Not showing your work may result in a grade of zero on this question.